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Finding the Fourth Proportional to 771.35, 1,062.96 and 538.07

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Solution

The fourth proportional to 771.35, 1,062.96 and 538.07 is: 741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,062.96 = 538.07 : x
  2. Step 2: Convert to fraction form
    771.35/1,062.96 = 538.07/x
  3. Step 3: Cross multiply
    771.35x = 1,062.96 × 538.07
  4. Step 4: Simplify right side
    771.35x = 571,946.89
  5. Step 5: Solve for x
    x = 571,946.89/771.35
  6. Step 6: Final answer
    x = 741.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.